Search a number
-
+
212312022321 = 3722769444029
BaseRepresentation
bin1100010110111011001…
…0000101110100110001
3202022000101112020000010
43011232302011310301
511434303334203241
6241311303245133
721224201261550
oct3055662056461
9668011466003
10212312022321
118204a668863
1235192a497a9
1317037000999
14a3c1321d97
1557c92cad16
hex316ec85d31

212312022321 has 16 divisors (see below), whose sum is σ = 323538019200. Its totient is φ = 121315554048.

The previous prime is 212312022301. The next prime is 212312022323. The reversal of 212312022321 is 123220213212.

212312022321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212312022321 - 210 = 212312021297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212312022323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256135 + ... + 700163.

It is an arithmetic number, because the mean of its divisors is an integer number (20221126200).

Almost surely, 2212312022321 is an apocalyptic number.

212312022321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212312022321 is a deficient number, since it is larger than the sum of its proper divisors (111225996879).

212312022321 is a wasteful number, since it uses less digits than its factorization.

212312022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466808.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212312022321 its reverse (123220213212), we get a palindrome (335532235533).

The spelling of 212312022321 in words is "two hundred twelve billion, three hundred twelve million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 21 22769 68307 159383 444029 478149 1332087 3108203 9324609 10110096301 30330288903 70770674107 212312022321